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<channel>
	<title>Σχόλια στο Κανονικά πολύγωνα</title>
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	<link>http://kolount.wordpress.com/2009/05/07/%ce%ba%ce%b1%ce%bd%ce%bf%ce%bd%ce%b9%ce%ba%ce%ac-%cf%80%ce%bf%ce%bb%cf%8d%ce%b3%cf%89%ce%bd%ce%b1/</link>
	<description>και λύσεις</description>
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		<item>
		<title>Από: Mihalis Kolountzakis</title>
		<link>http://kolount.wordpress.com/2009/05/07/%ce%ba%ce%b1%ce%bd%ce%bf%ce%bd%ce%b9%ce%ba%ce%ac-%cf%80%ce%bf%ce%bb%cf%8d%ce%b3%cf%89%ce%bd%ce%b1/#comment-966</link>
		<dc:creator>Mihalis Kolountzakis</dc:creator>
		<pubDate>Wed, 13 May 2009 20:28:57 +0000</pubDate>
		<guid isPermaLink="false">http://kolount.wordpress.com/?p=821#comment-966</guid>
		<description>&lt;b&gt;Υπόδειξη:&lt;/b&gt;

Αν $latex \zeta_N = e^{2\pi i/N}$ υπολογίστε το άθροισμα

$latex S(m) = \sum_{k=0}^{N-1} \zeta_N^{km},\ \ \ (m=0, 1, \ldots, N-1)$.</description>
		<content:encoded><![CDATA[<p><b>Υπόδειξη:</b></p>
<p>Αν <img src='http://l.wordpress.com/latex.php?latex=%5Czeta_N+%3D+e%5E%7B2%5Cpi+i%2FN%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\zeta_N = e^{2\pi i/N}' title='\zeta_N = e^{2\pi i/N}' class='latex' /> υπολογίστε το άθροισμα</p>
<p><img src='http://l.wordpress.com/latex.php?latex=S%28m%29+%3D+%5Csum_%7Bk%3D0%7D%5E%7BN-1%7D+%5Czeta_N%5E%7Bkm%7D%2C%5C+%5C+%5C+%28m%3D0%2C+1%2C+%5Cldots%2C+N-1%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='S(m) = \sum_{k=0}^{N-1} \zeta_N^{km},\ \ \ (m=0, 1, \ldots, N-1)' title='S(m) = \sum_{k=0}^{N-1} \zeta_N^{km},\ \ \ (m=0, 1, \ldots, N-1)' class='latex' />.</p>
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